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【321106】【课时练】第1单元 分数乘法 8 用分数乘法解决稍复杂的实际问题-六年级上册数学一课一

时间:2025-01-08 19:23:54 作者: 字数:2336字
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8 用分数乘法解决稍复杂的实际问题

本课导学

本课知识点:掌握分数乘法应用题的数量关系,学会应用一个数乘以分数的意义解答分数乘法的两步应用题。

修路队计划每天修路 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> 千米,实际每天多修 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> ,实际每天多修多少千米?



特别提醒:此类问题的解题思路和前面一节所讲的内容相同,要根据多几分之几或少几分之几找出所求量的对应分率。

【快乐训练营】

一、想一想,填一填。

1.面粉的重量比大米多 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> 表示(   )。

2.海尔冰箱原来每台售价2700元,现在每台售价比原来降低了 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a>

12700× <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> 表示(       );

21 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> 表示(       );

32700× <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> 表示(      )。

二、判断是非。(对的打√,错的打×

1. 一堆沙子,运走了 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> ,还剩下 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> 吨。( )

 2. 现在的体重比原来增加了 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> ,是把“原来的体重”看作单位“1”。( )

  3. 18米长的绳子增加它的 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> 后,再减少 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> ,这根绳子现在还是18米。( )

三、找朋友(问题、算式一线牵)。

水果店有苹果200千克,梨比苹果少 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> ,香蕉比苹果多 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a>

200× <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a>       梨有多少千克?

200× <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a>       香蕉有多少千克?

200×1 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> )   梨比苹果少多少千克?

200×1 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> )  香蕉比苹果多多少千克?

【知识加油站】

四、看图列式。

 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a>



 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a>





五、解决问题。

1.春苗小学去年植树180棵,今年比去年多植 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> 。今年植树多少棵?




2.同学们进行跳绳比赛。聪聪跳了150下,明明跳的比聪聪多 <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> ,明明比聪聪多跳多少下?明明跳了多少下?






【我来纠错】

参考答案

一、1. 面粉的重量=大米×1+ <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a>

2. 1)海尔冰箱降低的价格 (2)现在每台售价的占比 (3)现在的售价

二、1.× 2.√ 3. × 

三、略

四、1. 84-84× <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> =72(元) 2. 120+120× <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> =144(棵)

五、1. 180+180× <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> =220(棵)

2.150× <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> =50(下) 150+150× <a href="/tags/1/" title="单元" class="c1" target="_blank">单元</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/47/" title="解决" class="c1" target="_blank">解决</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/144/" title="分数" class="c1" target="_blank">分数</a> <a href="/tags/195/" title="乘法" class="c1" target="_blank">乘法</a> =200(下)






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